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Past exam of the natural sciences course of the University of Cambridge / 2025 / ia / Paper 2

www.maths.cam.ac.uk/undergradnst/files/2025/papernst_ia_2_2025.pdf

Table of contents 172
- 1 Paper 2 4
  - a 1 1
    - Solution a
  - b 1 1
    - Solution b
- 2 Paper 2 1
  - Solution 2
- 3 Paper 2 4
  - a 3 1
    - Solution a
  - b 3 1
    - Solution b
- 4 Paper 2 1
  - Solution 4
- 5 Paper 2 4
  - a 5 1
    - Solution a
  - b 5 1
    - Solution b
- 6 Paper 2 1
  - Solution 6
- 7 Paper 2 1
  - Solution 7
- 8 Paper 2 4
  - a 8 1
    - Solution a
  - b 8 1
    - Solution b
- 9 Paper 2 4
  - a 9 1
    - Solution a
  - b 9 1
    - Solution b
- 10 Paper 2 4
  - a 10 1
    - Solution a
  - b 10 1
    - Solution b
- 11 Paper 2 23
  - a 11 4
    - i a 1
      - Solution i
    - ii a 1
      - Solution ii
  - b 11 8
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
    - iv b 1
      - Solution iv
  - c 11 8
    - i c 1
      - Solution i
    - ii c 1
      - Solution ii
    - iii c 1
      - Solution iii
    - iv c 1
      - Solution iv
- 12 Paper 2 23
  - a 12 1
    - Solution a
  - b 12 6
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
  - c 12 4
    - i c 1
      - Solution i
    - ii c 1
      - Solution ii
  - d 12 1
    - Solution d
  - e 12 6
    - i e 1
      - Solution i
    - ii e 1
      - Solution ii
    - iii e 1
      - Solution iii
- 13 Paper 2 7
  - a 13 4
    - i a 1
      - Solution i
    - ii a 1
      - Solution ii
  - b 13 1
    - Solution b
- 14 Paper 2 11
  - a 14 8
    - i a 1
      - Solution i
    - ii a 1
      - Solution ii
    - iii a 1
      - Solution iii
    - iv a 1
      - Solution iv
  - b 14 1
    - Solution b
- 15 Paper 2 7
  - a 15 1
    - Solution a
  - b 15 4
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
- 16 Paper 2 7
  - a 16 4
    - i a 1
      - Solution i
    - ii a 1
      - Solution ii
  - b 16 1
    - Solution b
- 17 Paper 2 10
  - a 17 4
    - i a 1
      - Solution i
    - ii a 1
      - Solution ii
  - b 17 4
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
- 18 Paper 2 16
  - a 18 1
    - Solution a
  - b 18 8
    - i b 1
      - Solution i
    - ii b 1
      - Solution ii
    - iii b 1
      - Solution iii
    - iv b 1
      - Solution iv
  - c 18 4
    - i c 1
      - Solution i
    - ii c 1
      - Solution ii
- 19 Paper 2 14
  - a 19 4
    - i a 1
      - Solution i
    - ii a 1
      - Solution ii
  - b 19 1
    - Solution b
  - c 19 4
    - i c 1
      - Solution i
    - ii c 1
      - Solution ii
  - d 19 1
    - Solution d
- 20 Paper 2 6
  - a 20 1
    - Solution a
  - b 20 1
    - Solution b
  - c 20 1
    - Solution c

1

Articles: 4

a

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Solution

b

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Solution

2

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3

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b

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4

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5

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b

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6

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8

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b

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9

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b

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10

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b

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11

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a

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i

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ii

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Solution

b

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i

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Solution

ii

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Solution

iii

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Solution

iv

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Solution

c

Articles: 8

i

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Solution

ii

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Solution

iii

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Solution

iv

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Solution

12

Articles: 23

a

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Solution

b

Articles: 6

i

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Solution

ii

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Solution

iii

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Solution

c

Articles: 4

i

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Solution

ii

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Solution

d

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Solution

e

Articles: 6

i

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Solution

ii

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Solution

iii

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Solution

13

Articles: 7

a

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i

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Solution

ii

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Solution

b

Articles: 1

Solution

14

Articles: 11

a

Articles: 8

i

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Solution

ii

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Solution

iii

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Solution

iv

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Solution

b

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Solution

15

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a

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b

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i

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Solution

ii

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Solution

16

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a

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i

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ii

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Solution

b

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Solution

17

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a

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i

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Solution

ii

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Solution

b

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i

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Solution

ii

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Solution

18

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a

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Solution

b

Articles: 8

i

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Solution

ii

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Solution

iii

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Solution

iv

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Solution

c

Articles: 4

i

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Solution

ii

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Solution

19

Articles: 14

a

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i

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Solution

ii

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Solution

b

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Solution

c

Articles: 4

i

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Solution

ii

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Solution

d

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Solution

20

Articles: 6

a

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Solution

b

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Solution

c

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Solution

 Ancestors (8)